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Finding the Third Proportional to 237,781.69 and 560,742.19

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Solution

The third proportional to 237,781.69 and 560,742.19 is: 1,322,354.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,781.69 : 560,742.19 = 560,742.19 : x
  2. Step 2: Convert to fraction form
    237,781.69/560,742.19 = 560,742.19/x
  3. Step 3: Cross multiply
    237,781.69x = 560,742.19 × 560,742.19
  4. Step 4: Simplify right side
    237,781.69x = 314,431,800,842.29
  5. Step 5: Solve for x
    x = 314,431,800,842.29/237,781.69
  6. Step 6: Final answer
    x = 1,322,354.99

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.